The points which represents the vertices of the given equation are; (15, −2) and (−1, −2).
<h3>Which points among the answer choices represents the vertices of the ellipse whose equation is given?</h3>
The complete question gives the equation of the ellipse as; (x-7)²/64+(y+2)²/9=1.
Since, It follows from convention that general equation of ellipse with centre as (h, k) takes the form;
(x-h)²/a² +(y-k)²/b² = 1.
Consequently, it follows from observation that the value of a and b in the given equation in the task content is; √64 = 8 and √9 = 3 respectively.
Since, 8 > 3, The vertices of the ellipse are given by; (h±a, k).
The vertices in this scenario are therefore;
(7+8, -2) and (7-8, -2).
= (15, -2) and (-1, -2).
Read more on vertices of an ellipse;
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Original equation is 
So, 
and
If we compare this equation with the given options, we can easily find that this matches with the last one 
with P = p/2.
Hence, correct option is .
Answer: 43
Step-by-step explanation:
Answer:
$40 per week
Step-by-step explanation:
Step one:
Given data
the initial amount is = $100
the total amount= $500
let the number of weeks be x
Step two:
The expression for the scenario is
From the expression above, the rate of the change is $40 per week.
this means that in every week the account will be increased by $40
Answer:
21.1 percent
Step-by-step explanation:
Total balls after -1 red ball=7+5+4+3=19
Prob of purple ball= purple ball/total balls
= 4/19
=0.2105...
percentage:21.1%
